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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 8670m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8670.m1 | 8670m1 | \([1, 0, 1, -14023, 1512746]\) | \(-43713001/116640\) | \(-813652347918240\) | \([]\) | \(36720\) | \(1.5485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8670m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8670m do not have complex multiplication.Modular form 8670.2.a.m
sage: E.q_eigenform(10)